Problema Solution
1. A motorcycle license plate consists of two capital letters followed by three single digit numbers. How many license plates can be determined when
a. any of the letters and numbers can be repeated?
b. none of the letters or numbers can be repeated?
Answer provided by our tutors
a) First case: For the first digit, there is 26 possible ways, similarly for 2nd letter too (since the number can be repeated.). SImilarly for the 3rd digit, 10 possibilities (from 0 to 9), similarly for 4th and 5th digits. SO total number of license plates = 26*26*10*10*10 = 676000.
b) Second case: (none can be repeated) 26*25 *10*9*8 = 468000